12266017040000 has 80 divisors (see below), whose sum is σ = 30535482994170. Its totient is φ = 4906406784000.

The previous prime is 12266017039963. The next prime is 12266017040003. The reversal of 12266017040000 is 4071066221.

12266017040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 267884915776 + 11998132124224 = 517576^2 + 3463832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12266017040003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76582607 + ... + 76742606.

Almost surely, 2^{12266017040000} is an apocalyptic number.

12266017040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12266017040000 is an abundant number, since it is smaller than the sum of its proper divisors (18269465954170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12266017040000 is an frugal number, since it uses more digits than its factorization.

12266017040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153325247 (or 153325220 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 12266017040000 in words is "twelve trillion, two hundred sixty-six billion, seventeen million, forty thousand".